# math

find the volume of the cup. the diameter of the top is 3inches. the diameter of the base is 2inches. the height is 4inches.

1. 👍 0
2. 👎 0
3. 👁 62
1. If you draw a picture, and imagine that the truncated cone is produced to its vertex V where the diameter is zero, then
height from V to the section at which the diameter is 2"
= 2*4" = 8"

Height of complete cone = 4"+8"=12"
Height of "missing" cone = 8"

Volume of complete cone
= πr²h/3
= 12π(3/2)²/3
= 9π

Volume of "missing" cone
=πr²h/3
=8π(2/2)²/3
=(8/3)π

Therefore volume of the truncated cone
= 9π - (8/3)π
= ...

Volume of comp

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Physics

The diameter of the base of a tapered drinking cup is 6.6cm . The diameter of its mouth is 9.8cm . The path of the cup curves when you roll it on the top of a table. How much faster does the mouth move than the base? Express your

asked by James on March 20, 2014
2. ### spheres

Find the Volume of a hemisphere with a diameter of 17 cm. Use pi = 3.14 and round to the nearest hundredth. can some one show me what i'mdoing wrong? this is what i got: 4/3*3.15*17^3 you forgot to split the diameter in half to

asked by mike on May 8, 2007
3. ### calculus ( related rates )

a paper cup in the shape of a cone has a diameter of 10cm across the top, and is 8cm deep. if the cup is leaking out the bottom at 2pi cm^3/min, at what rate is thet area of the water surface ( only the top surface of the water)

asked by john on June 22, 2011
4. ### math problem

When a concrete structure is built, an engineer often performs a slump test on the concrete to ensure that it is of suitable strength and consistency. The engineer fills a truncated cone with a bottom diameter 200mm, top diameter

asked by Emma on September 30, 2010
5. ### math problem

When a concrete structure is built, an engineer often performs a slump test on the concrete to ensure that it is of suitable strength and consistency. The engineer fills a truncated cone with a bottom diameter 200mm, top diameter

asked by Emma on September 30, 2010
6. ### Math

When a concrete structure is built, an engineer often performs a slump test on the concrete to ensure that it is of suitable strength and consistency. The engineer fills a truncated cone with a bottom diameter 200mm, top diameter

asked by Emma on October 2, 2010
7. ### calculus help

A drinking cup is made in the shape of a right circular cylinder. for a fixed volume, we wish to make the total material used, the circular bottom and the cylindrical side, as small as possible. Find the ratio of the height to the

asked by Layla on April 25, 2014
8. ### Math

a cylindrical cup is made so that the sum of its diameter and its height is 25 cm. find the dimensions of the cup so that the surface area of the cup is a maximum. The answers are. D= 50/3. H=25/3. But how do u get that

asked by Anonymous on May 4, 2015
9. ### maths

three spheres of diameter 2,3 & 4cms formed into a single sphere.Find the diameter of the new sphere assuming that the volume of a sphere is proportional to the cube of diameter.

asked by parth on November 17, 2015
10. ### Math

Find the volume of the cylinder. The formula for the volume is V=Pr^2h but it give a diameter. Does this mean first I divided the diameter by 2?

asked by Anonymous on November 9, 2009

More Similar Questions